File: array_prf.dats

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(***********************************************************************)
(*                                                                     *)
(*                         Applied Type System                         *)
(*                                                                     *)
(***********************************************************************)

(*
** ATS/Postiats - Unleashing the Potential of Types!
** Copyright (C) 2010-2013 Hongwei Xi, ATS Trustful Software, Inc.
** All rights reserved
**
** ATS is free software;  you can  redistribute it and/or modify it under
** the terms of  the GNU GENERAL PUBLIC LICENSE (GPL) as published by the
** Free Software Foundation; either version 3, or (at  your  option)  any
** later version.
**
** ATS is distributed in the hope that it will be useful, but WITHOUT ANY
** WARRANTY; without  even  the  implied  warranty  of MERCHANTABILITY or
** FITNESS FOR A PARTICULAR PURPOSE.  See the  GNU General Public License
** for more details.
**
** You  should  have  received  a  copy of the GNU General Public License
** along  with  ATS;  see the  file COPYING.  If not, please write to the
** Free Software Foundation,  51 Franklin Street, Fifth Floor, Boston, MA
** 02110-1301, USA.
*)

(* ****** ****** *)

(*
** Source:
** $PATSHOME/prelude/DATS/CODEGEN/array_prf.atxt
** Time of generation: Fri Sep 26 22:21:03 2014
*)

(* ****** ****** *)

(* Author: Hongwei Xi *)
(* Authoremail: hwxi AT cs DOT bu DOT edu *)
(* Start time: Feburary, 2012 *)

(* ****** ****** *)

primplmnt
array_v_unnil_nil {a1,a2} (pf) = let
  prval () = array_v_unnil {a1} (pf) in array_v_nil {a2} ()
end // end of [array_v_unnil]

(* ****** ****** *)

primplmnt
array_v_sing (pfat) =
  array_v_cons (pfat, array_v_nil ())
// end of [array_v_sing]

primplmnt
array_v_unsing (pfarr) = let
  prval (
    pf1at, pf2arr
  ) = array_v_uncons (pfarr)
  prval () = array_v_unnil (pf2arr)
in
  pf1at
end // end of [array_v_unsing]

(* ****** ****** *)

primplmnt
array_v_split{a}
  (pf_arr) = split (pf_arr) where {
  prfun split
    {l:addr} 
    {n,i:nat | i <= n}
    .<i>. (
    pf_arr: array_v (a, l, n)
  ) : @(
    array_v (a, l, i), array_v (a, l+i*sizeof(a), n-i)
  ) =
    sif i > 0 then let
      prval @(pf1elt, pf2arr) = array_v_uncons (pf_arr)
      prval @(pf1arr_res, pf2arr_res) = split {..}{n-1,i-1} (pf2arr)
    in
      @(array_v_cons (pf1elt, pf1arr_res), pf2arr_res)
    end else let
      prval EQINT () =
        eqint_make {i,0} () in (array_v_nil {a} {l} (), pf_arr)
    end // end of [sif]
} // end of [array_v_split]

(* ****** ****** *)

primplmnt
array_v_split_at
  {a}{l}{n}{i}
  (pf | i) = array_v_split{a}{l}{n}{i} (pf)
// end of [array_v_split_at]

(* ****** ****** *)

primplmnt
array_v_unsplit{a}
  (pf1arr, pf2arr) =
  unsplit (pf1arr, pf2arr) where {
//
  prval () = lemma_array_v_param (pf1arr)
  prval () = lemma_array_v_param (pf2arr) 
//
  prfun unsplit
    {l:addr}
    {n1,n2:nat} .<n1>. (
    pf1arr: array_v (a, l, n1)
  , pf2arr: array_v (a, l+n1*sizeof(a), n2)
  ) : array_v (a, l, n1+n2) =
    sif n1 > 0 then let
      prval @(
        pf11elt, pf12arr
      ) = array_v_uncons (pf1arr)
      prval pf_arr_res = unsplit (pf12arr, pf2arr)
    in
      array_v_cons (pf11elt, pf_arr_res)
    end else let
      prval EQINT () = eqint_make {n1,0} ()
      prval () = array_v_unnil (pf1arr) in pf2arr
    end // end of [sif]
} // end of [array_v_unsplit]

(* ****** ****** *)

primplmnt
array_v_extend
  (pf1arr, pf2at) =
  array_v_unsplit (pf1arr, array_v_sing (pf2at))
// end of [array_v_extend]

primplmnt
array_v_unextend
  {a}{l}{n} (pfarr) = let
  prval (pf1arr, pf2arr) = array_v_split{a}{l}{n}{n-1} (pfarr)
in
  (pf1arr, array_v_unsing (pf2arr))
end // end of [array_v_unextend]

(* ****** ****** *)

primplmnt
array_v_takeout
  {a}{l}{n}{i} (pfarr) =
  takeout {..}{n}{i} (pfarr) where
{
//
prfun takeout
  {l:addr}
  {n:int}
  {i:nat | i < n} .<i>.
(
  pfarr: array_v (a, l, n)
) : vtakeout (
  array_v (a, l, n), a@l+i*sizeof(a)
) = let
  prval @(pf1at, pf2arr) = array_v_uncons (pfarr)
in
  sif i > 0 then let
    prval (pfat, fpf) = takeout{..}{n-1}{i-1} (pf2arr)
  in
    (pfat, llam pfat =<prf> array_v_cons (pf1at, fpf pfat))
  end else let
    prval EQINT () = eqint_make{i,0} ()
  in
    (pf1at, llam pf1at =<prf> array_v_cons (pf1at, pf2arr))
  end // end of [sif]
end // end of takeout]
//
} // end of [array_v_takeout]

(* ****** ****** *)

(* end of [array_prf.dats] *)